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Finding the Fourth Proportional to 178.08, 268.26 and 176.46

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Solution

The fourth proportional to 178.08, 268.26 and 176.46 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.08 : 268.26 = 176.46 : x
  2. Step 2: Convert to fraction form
    178.08/268.26 = 176.46/x
  3. Step 3: Cross multiply
    178.08x = 268.26 × 176.46
  4. Step 4: Simplify right side
    178.08x = 47,337.16
  5. Step 5: Solve for x
    x = 47,337.16/178.08
  6. Step 6: Final answer
    x = 265.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.